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Exploring the Ratio of Circumference to Diameter

This activity provides an opportunity for students to explore the ratio of the circumference of its circle to the length of its diameter in order to generalize the ratio for pi.

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Creating Nets for Three-Dimensional Figures

Given nets for three-dimensional figures, the student will apply the formulas for the total and lateral surface area of three-dimensional figures to solve problems using appropriate units of measure.

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Converting Between Measurement Systems

Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.

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Interactive Math Glossary

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Selecting and Using Representations for Collected Data

Given a variety of data (including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams), the student will select and use an appropriate representation for presenting and displaying relationships among the collected data with and without the use of technology

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Evaluating Methods of Sampling from a Set of Data

Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.

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Using Multiplication by a Constant Factor

Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.

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Predicting, Finding, and Justifying Data from a Table

Given data in table form, the student will use the data table to interpret solutions to problems.

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Estimating and Finding Solutions: Percents

Given problem situations involving percents, the student will estimate and find solutions to the problems.

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Defining Similarity

Given similar figures, the student will use critical attributes to define similarity.

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Making Inferences and Convincing Arguments about Samples and Populations

Given problem situations that include given or collected data, the student will analyze the data and make inferences and convincing arguments based on the data.

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Selecting and Using Appropriate Operations to Solve Problems

Given problem situations involving rational numbers, the student will select and use appropriate methods to solve the problems.

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Estimating and Finding Solutions to Problems Involving Similarity and Rates

Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.

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Generating Similar Figures Using Dilations

Given a figure, the student will identify the scale factor used for a dilation, and use a dilation by a scale factor, including enlargements and reductions, to generate similar figures.

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4 OnTRACK Grade 7 Math: Number and Operations

Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.

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19 OnTRACK Grade 7 Math: Proportionality

Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.

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7 OnTRACK Grade 7 Math: Expressions, Equations, and Relationships

Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.

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11 OnTRACK Grade 8 Math: Proportionality

Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.

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Determining Slopes from Equations, Graphs, and Tables

Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.

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Using Theoretical and Experimental Probability to Make Predictions

Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.